Question

If $x$ is greater than $2$, then $|2-x|=$

Answer 1

Solve the given modulus function

Given: $x$ is greater than $2$, that is $x–2>0$.

Then, $|2–x|$ will open with a negative sign.

So,$|2–x|$

$$\begin{gathered} =-(2–x)\left[\because x>2\right] \\ =x-2 \end{gathered}$$

Hence, $|2-x|=x-2$ for $x>2$